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144224004 = 223711091553
BaseRepresentation
bin10001001100010…
…10111100000100
3101001101100010210
420212022330010
5243410132004
622151115420
73400612101
oct1046127404
9331340123
10144224004
11744576a1
1240372b70
1323b58b62
1415223aa8
15c9dd089
hex898af04

144224004 has 48 divisors (see below), whose sum is σ = 344615040. Its totient is φ = 46932480.

The previous prime is 144223969. The next prime is 144224011. The reversal of 144224004 is 400422441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92092 + ... + 93644.

It is an arithmetic number, because the mean of its divisors is an integer number (7179480).

Almost surely, 2144224004 is an apocalyptic number.

It is an amenable number.

144224004 is an abundant number, since it is smaller than the sum of its proper divisors (200391036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144224004 is a wasteful number, since it uses less digits than its factorization.

144224004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 144224004 is about 12009.3298730612. The cubic root of 144224004 is about 524.4199234774.

Adding to 144224004 its reverse (400422441), we get a palindrome (544646445).

The spelling of 144224004 in words is "one hundred forty-four million, two hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 12 71 109 142 213 218 284 327 426 436 654 852 1308 1553 3106 4659 6212 7739 9318 15478 18636 23217 30956 46434 92868 110263 169277 220526 330789 338554 441052 507831 661578 677108 1015662 1323156 2031324 12018667 24037334 36056001 48074668 72112002 144224004